Finding the Third Proportional to 78,379 and 171,482

Step by Step Solution

1. Step 1: Write the proportion equation
   78,379 : 171,482 = 171,482 : x
2. Step 2: Convert to fraction form
   78,379/171,482 = 171,482/x
3. Step 3: Cross multiply
   78,379x = 171,482 × 171,482
4. Step 4: Simplify right side
   78,379x = 29,406,076,324
5. Step 5: Solve for x
   x = 29,406,076,324/78,379
6. Step 6: Final answer
   x = 375,178.00